In this work, Euler explains his theory of the tides on the basis of the principle (given earlier in E225) that, in a state of equilibrium, the potential (the action of the forces) is constant over the surface of the water. He refutes the view that the height of a tide depends on the density of water, and he determines, in the equilibrium hypothesis, the elevation or depression at any point given the positions of the sun and moon. Euler also derives the elevation at the poles and the equator, and also when the luminaries are in conjunction and opposition. (Based on Eric J. Aiton's English introduction to Opera Omnia, Series 2, Volume 31.)
Original Source Citation
Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1780: I, pp. 132-153.
Opera Omnia Citation
Series 2, Volume 31, pp.329-348.